-15--16=1
-7-19=-26
y=mx+b
-26=m(1) +b
Answer:
4
Step-by-step explanation:
This expression is a difference of squares.
(√3 + i)(√3 - i) = (√3)²-(i)², which is
3 - (-1)
= 3 + 1
= 4
Step-by-step explanation:
1 = 18
5 = 18 x 4
0.5 = 0.092
3.5 = 0.06
The area of the given shape is 220.24 square units.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the entire rectangle - Area of the rectangle - Area of the triangle.
The entire rectangle measures a length of 12 feet and a width of 5 feet. The area of any given rectangle is the multiplication of its length and width.
The area of the entire rectangle
square feet.
Step 2:
A rectangle with length 2 feet and a width of 3 feet is cut out from the entire rectangle so it is subtracted from the entire rectangle's area.
The area of the small rectangle
square feet.
Step 3:
The area of a triangle = 
The base length of the triangle
feet and the height of the triangle is 3 feet.
The triangle's area =
square feet.
Step 4:
Area of the given shape =
square feet.
So 48 square feet of outdoor carpet will be needed.
Answer:
Here we have two concepts.
First, when we have that something, let's call it A, is an x% of another thing, let's call it B.
We have that:
A = (x%/100%)*B
In this case g(x) is 60% of f(x), then:
g(x) = (60%/100%)*f(x) = 0.6*f(x)
And this is called a vertical dilation.
When we have a function f(x), a vertical dilation of scale factor A is written as:
g(x) = A*f(x)
So in this case we have A = 0.6
Then we can write this as:
"g(x) is a vertical dilation of scale factor 0.6 of the function f(x)"
And to solve completely, let's write g(x):
g(x) = 0.6*f(x) = 0.6*(9*x + 5) = 5.4*x + 3
g(x) = 5.4*x + 3